Question 972502
recall:
Least Common Multiple  -  The smallest number that is divisible by two or more given numbers. 

so, find {{{LCM}}}

{{{585}}}|{{{5 }}}
{{{117}}}|{{{3}}}
{{{39}}}|{{{3}}}
{{{13}}}|{{{13}}}
{{{1}}}

=>{{{585=3^2*5*13}}}

and 
{{{624}}}|{{{2}}}
{{{312}}}|{{{2}}}
{{{156}}}|{{{2}}}
{{{78}}}|{{{2}}}
{{{39}}}|{{{3}}}
{{{13}}}|{{{13}}}
{{{1}}}

=>{{{624=2^4*3*13}}}

{{{LCM=2^4*3^2*5*13=16*9*5*13=9360}}}

so, the smallest number that is divisible by {{{585}}} and {{{624}}} is {{{9360}}}